贺小明 - 中央民族大学

个人简介

贺小明，湖南溆浦人，瑶族。理学博士，教授，研究生导师，美国数学评论评论员，德国数学文摘评论员，中央民族大学应用数学研究所所长。北京市数学学会会员，教育部学位与研究生教育发展中心外聘专家。主要经历 1990年毕业于怀化学院数学系，班主任舒见贤教授。 1999年毕业于湖南大学应用数学系，获硕士学位，导师黄立宏教授。2002年毕业于北京理工大学，获博士学位，导师葛渭高教授。2002-2004年在中科院应用数学研究所做博士后，曹道民教授。2004年秋季进入中央民族大学数学与计算机学院、理学院工作至今。在此期间，2006-2008年在清华大学数学系做在职博士后，导师邹文明教授获奖情况和人才计划获北京理工大学优秀博士学位论文奖(2002年) 获中国科学院王宽诚博士后工作奖励基金(2002年) 获2012年中央民族大学优秀教学成果二等奖（独立完成，2012年）入选中央民族大学“高层次优秀人才”支持计划(2016-2019年) 学术交流 2009.2-2010.1: 公派访学美国犹他州立大学数学与统计系（Utah State University），访问学者 2018.10-2018.11, 德国曼汉姆大学数学系(University of Mannheim), 访问学者 2019.7-2019.8, 德国弗莱堡大学数学系(Albert-Ludwigs-Universität Freiburg), 访问学者

近期论文

查看导师最新文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

He, Xiaoming; Wang, Dabin, Multiple positive bound state solutions for fractional Schrodinger-Poisson system with critical nonlocal term, J. Geom. Anal. (To appear, 2023). Meng Yuxi; He, Xiaoming; Feng, Zhaosheng, Normalized solutions of fractional Choquard equation with critical nonlinearity, Diff. Integ. Equt. (Accepted, 2023). Meng Yuxi; He, Xiaoming, Normalized solutions for the Schrodinger-Poisson system with doubly critical growth, Topological Methods in Nonlinear Analysis, (Accepted, 2023). Zhang, Xinrui; He, Xiaoming, Fractional Schr?dinger–Poisson system with critical growth and potentials vanishing at infinity, Math. Nachr., 2023, DOI: 10.1002/mana.202100094. Lan, Jiali; He, Xiaoming; On a fractional Schrodinger-Poisson system with doubly critical growth and a steep potential well, J. Geom. Anal. Doi.org/10.1007/s12220-023-01238-5, 2023. He, Xiaoming; Zhao, Xin; Zou, Wenming; The Benci–Cerami problem for the fractional Choquard equation with critical exponent. Manuscripta Math. 170 (2023), no. 1-2, 193–242. Meng, Yuxi; He, Xiaoming; Multiplicity of concentrating solutions for Choquard equation with critical growth. J. Geom. Anal. 33 (2023), no. 3, Paper No. 78, 29 pp. Zhang, Xinrui; Meng, Yuxi; He, Xiaoming Analysis of a low linear perturbed Choquard equation with critical growth. J. Fixed Point Theory Appl. 25 (2023), no. 1, Paper No. 3, 13 pp. Qu, Siqi; He, Xiaoming, Multiplicity of high energy solutions for fractional Schr?dinger-Poisson systems with critical frequency. Electron. J. Differ. Equ. 2022, Paper No. 47, 21 p. (2022). Dou, Xilin; He, Xiaoming, Ground states for critical fractional Schr?dinger-Poisson systems with vanishing potentials. Math. Methods Appl. Sci. 45 (2022), no. 16, 9089–9110. He, Xiaoming; R?dulescu, Vicen?iu D.; Zou, Wenming, Normalized ground states for the critical fractional Choquard equation with a local perturbation. J. Geom. Anal. 32, No. 10, Paper No. 252, 51 p. (2022). Li, Na; He, Xiao-ming, Positive solutions for a class of fractional p-Laplacian equation with critical Sobolev exponent and decaying potentials. Acta Math. Appl. Sin., Engl. Ser. 38, No. 2, 463-483 (2022). Qu, Siqi; He, Xiaoming, On the number of concentrating solutions of a fractional Schr?dinger-Poisson system with doubly critical growth. Anal. Math. Phys. 12, No. 2, Paper No. 59, 49 p. (2022). He, Xiaoming, Positive solutions for fractional Schr?dinger-Poisson systems with doubly critical exponents. Appl. Math. Lett. 120, Article ID 107190, 8 p. (2021). Meng, Yuxi; Zhang, Xingrui; He, Xiaoming, Least energy sign-changing solutions for a class of fractional Kirchhoff-Poisson system. J. Math. Phys. 62, No. 9, 091508, 21 p. (2021). Meng, Yuxi; Zhang, Xinrui; He, Xiaoming, Ground state solutions for a class of fractional Schr?dinger-Poisson system with critical growth and vanishing potentials. Adv. Nonlinear Anal. 10, 1328-1355 (2021). He, Xiaoming; R?dulescu, Vicen?iu D., Small linear perturbations of fractional Choquard equations with critical exponent. J. Differ. Equations 282, 481-540 (2021). He, Xiaoming; Zhao, Xin; Zou, Wenming, Maximum principles for a fully nonlinear nonlocal equation on unbounded domains. Commun. Pure Appl. Anal. 19, No. 9, 4387-4399 (2020). He, Xiaoming; Zou, Wenming, Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schr?dinger equations with critical growth. Sci. China, Math. 63, No. 8, 1571-1612 (2020). Li, Na; He, Xiaoming, Existence and multiplicity results for some Schr?dinger-Poisson system with critical growth. J. Math. Anal. Appl. 488, No. 2, Article ID 124071, 35 p. (2020). He, Xiaoming; Zou, Wenming, Ground state solutions for a class of fractional Kirchhoff equations with critical growth. Sci. China, Math. 62, No. 5, 853-890 (2019). Do ó., Jo?o Marcos; He, Xiaoming; Mishra, Pawan Kumar, Fractional Kirchhoff problem with critical indefinite nonlinearity. Math. Nachr. 292, No. 3, 615-632 (2019). Lan, Fengqin; He, Xiaoming, The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 236-263 (2019). Han, Xiaotian; Ma, Xiaoyan; He, Xiaoming, Existence of sign-changing solutions for a class of p-Laplacian Kirchhoff-type equations. Complex Var. Elliptic Equ. 64, No. 2, 181-203 (2019). He, Xiaoming; Zou, Wenming, Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation. Manuscr. Math. 158, No. 1-2, 159-203 (2019). He, Xiaoming; Zou, Wenming, Multiplicity of concentrating positive solutions for Schr?dinger-Poisson equations with critical growth. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 142-170 (2018). Guo, Qing; He, Xiaoming, Semiclassical states for weakly coupled fractional Schr?dinger systems. J. Differ. Equations 263, No. 4, 1986-2023 (2017). Guo, Qing; He, Xiaoming, Semiclassical states for fractional Schr?dinger equations with critical growth. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 164-186 (2017). Jiao, Haitao; Ma, Xiaoyan; Guo, Qing; He, Xiaoming, Existence of least energy sign-changing solutions for a class of Schr?dinger-Poisson equation with potential vanishing at infinity. (Chinese. Acta Math. Appl. Sin. 39, No. 6, 897-916 (2016). He, Xiaoming; Zou, Wenming, Existence and concentration result for the fractional Schr?dinger equations with critical nonlinearities. Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 91, 39 p. (2016). He, Xiaoming; Squassina, Marco; Zou, Wenming, The Nehari manifold for fractional systems involving critical nonlinearities. Commun. Pure Appl. Anal. 15, No. 4, 1285-1308 (2016). Ma, Xiaoyan; He, Xiaoming, Nontrivial solutions for Kirchhoff equations with periodic potentials. Electron. J. Differ. Equ. 2016, Paper No. 102, 22 p. (2016). Ba, Zhen; He, Xiaoming, Solutions for a class of Schr?dinger-Poisson system in bounded domains. J. Appl. Math. Comput. 51, No. 1-2, 287-297 (2016). Guo, Qing; He, Xiaoming, Least energy solutions for a weakly coupled fractional Schr?dinger system. Nonlinear Anal., TMA, 132, 141-159 (2016). He, Xiaoming, Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system. Acta Appl. Math. 130, No. 1, 237-250 (2014). He, Xiaoming; Zou, Wenming, Ground states for nonlinear Kirchhoff equations with critical growth. Ann. Mat. Pura Appl. (4) 193, No. 2, 473-500 (2014). He, Xiaoming; Qian, Aixia; Zou, Wenming, Existence and concentration of positive solutions for quasilinear Schr?dinger equations with critical growth. Nonlinearity 26, No. 12, 3137-3168 (2013). Liu, Wei; He, Xiaoming, Multiplicity of high energy solutions for superlinear Kirchhoff equations. J. Appl. Math. Comput. 39, No. 1-2, 473-487 (2012). He, Xiaoming; Zou, Wenming, Existence and concentration of ground states for Schr?dinger-Poisson equations with critical growth. J. Math. Phys. 53, No. 2, 023702, 19 p. (2012). He, Xiaoming; Zou, Wenming, Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3. J. Differ. Equations 252, No. 2, 1813-1834 (2012). He, Xiaoming, Multiplicity of positive solutions for a class of Schr?dinger-Poisson systems with critical growth. (Chinese. English summary) Sci. Sin., Math. 41, No. 7, 577-600 (2011). He, Xiaoming, Multiplicity and concentration of positive solutions for the Schr?dinger-Poisson equations. Z. Angew. Math. Phys. 62, No. 5, 869-889 (2011). He, Xiaoming; Zou, Wenming, Infinitely many solutions for a singular elliptic equation involving critical Sobolev-Hardy exponents in RN. Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 3, 830-840 (2010). He, Xiao-Ming; Zou, Wen-Ming, Multiplicity of solutions for a class of Kirchhoff type problems. Acta Math. Appl. Sin., Engl. Ser. 26, No. 3, 387-394 (2010). He, Xiaoming, Multiple radial solutions for a class of quasilinear elliptic problems. Appl. Math. Lett. 23, No. 1, 110-114 (2010). Wang, Yuqing; He, Xiaoming, A note on a nonlinear functional differential system with feedback control. Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 13, 9 p. (2009). He, Xiaoming; Zou, Wenming, Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4646-4656 (2009). He, Xiaoming; Zou, Wenming, Multiplicity of solutions for a class of elliptic boundary value problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2606-2613 (2009). He, Xiaoming; Zou, Wenming, Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev-Hardy exponents. Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 97-108 (2009). He, Xiaoming; Zou, Wenming, Infinitely many positive solutions for Kirchhoff-type problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 3, 1407-1414 (2009). He, Xiaoming; Zou, Wenming, Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. Comput. Math. Appl. 56, No. 4, 1025-1031 (2008). He, Xiaoming; Zou, Wenming, Multiplicity of solutions for quasilinear Brezis-Nirenberg type problems involving singular weights. Int. J. Pure Appl. Math. 44, No. 4, 493-507 (2008). He, Xiaoming; Zou, Wenming, Nontrivial solutions for some singular critical growth semilinear elliptic equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3719-3732 (2008). He, Xiaoming; Zou, Wenming, Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations. Appl. Math. Comput. 197, No. 2, 858-863 (2008). Cao, Daomin; He, Xiaoming; Peng, Shuangjie, Positive solutions for some singular critical growth nonlinear elliptic equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 3, 589-609 (2005). He, Zhimin; He, Xiaoming, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions. Comput. Math. Appl. 48, No. 1-2, 73-84 (2004). He, Xiaoming, Double positive solutions of a three-point boundary value problem for the one-dimensional p-Laplacian. Appl. Math. Lett. 17, No. 8, 867-873 (2004). He, Zhimin; He, Xiaoming, Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. J. Math. Anal. Appl. 296, No. 1, 8-20 (2004). He, Xiaoming; Ge, Weigao, Twin positive solutions for the one-dimensional p-Laplacian boundary value problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 7, 975-984 (2004). He, Xiaoming; Ge, Weigao, A theorem about triple positive solutions for the one-dimensional p-Laplacian equations. (Chinese. English summary) Acta Math. Appl. Sin. 26, No. 3, 504-510 (2003). He, Xiaoming; Ge, Weigao, Existence of positive solutions for the one-dimensional p-Laplacian equation. (Chinese. English summary) Acta Math. Sin. 46, No. 4, 805-810 (2003). He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (n,p) boundary value problems. Port. Math. (N.S.) 60, No. 3, 253-262 (2003). He, Xiaoming; Ge, Weigao, Existence of three solutions for a quasilinear two-point boundary value problem. Comput. Math. Appl. 45, No. 4-5, 765-769 (2003). He, Xiaoming; Ge, Weigao; Shan, Wenrui, Existence of periodic solutions for generalized Liénard-typed functional-differential equations. J. Beijing Inst. Technol., Engl. Ed. 11, No. 3, 325-328 (2002). He, Xiaoming; Ge, Weigao, Existence of multiple positive solutions for higher-order p-Laplacian boundary value problems. J. Beijing Inst. Technol., Engl. Ed. 11, No. 2, 212-216 (2002). He, Xiaoming; Ge, Weigao; Peng, Mingshu, Multiple positive solutions for one-dimensional p-Laplacian boundary value problems. Appl. Math. Lett. 15, No. 8, 937-943 (2002). He, Xiaoming; Cao, Daomin; Ge, Weigao, Positive solutions for semipositone (k,n?k) boundary value problems. Indian J. Pure Appl. Math. 33, No. 9, 1361-1371 (2002). He, Xiaoming; Ge, Weigao, First-order impulsive functional differential equations with periodic boundary value conditions. Indian J. Pure Appl. Math. 33, No. 8, 1257-1273 (2002). He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (p,n?p) right focal boundary value problems. Appl. Anal. 81, No. 2, 227-240 (2002). He, Xiaoming; Ge, Weigao, Positive solutions and nonlinear eigenvalue problem of one-dimensional p-Laplacian FDE. Appl. Anal. 81, No. 1, 115-128 (2002). He, Xiaoming; Ge, Weigao, Triple solutions for second-order three-point boundary value problems. J. Math. Anal. Appl. 268, No. 1, 256-265 (2002). 出版教材三部贺小明，赵志红，张学梅，数学物理方程，中央民族大学出版社，2011年。贺小明，彭名书，常微分方程与动力系统概论，北京理工大学出版社，2010年。王兢，贺小明，基础拓扑学讲义，中央民族大学出版社，2022年。

个人简介

研究领域

近期论文